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Heuristic Introduction to the Discrete Memoryless Channel
sender and receiver
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arbitrarily varying channel arbitrary argument asymptotic equipartition property binary symmetric channel called capacity Cartesian product channel sequence Chapter Chebyshev's inequality code n coding theorem compound channel concave function convex coordinates corresponding cylinder set decoding sets defined disjoint disjoint sets encoder entropy ergodic exists a code exp2 finite follows governs the transmission Hence independent chance variables input alphabet integer knows the c.p.f. Lagrange multiplier left member Lemma Let u0 letter logM2 Markov chain memoryless channel n-sphere notation number of elements number of sequences obtain obviously output alphabet pair probability distribution probability of error probability space problem proof of Theorem prove Theorem proves the theorem rate triple received sequence receiver knows resp right member satisfies Section 5.1 sender and receiver sent set of n-sequences sn-input space stochastic input strong converse subcode sufficiently large transmitted vector weak converse Wolfowitz word write zero